A SOLUTION MAPPING AND ITS AXIOMATIZATION IN TWO-PERSON INTERVAL GAMES

Under new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality are established by using a nonlinear scalarization technique. These results extend and improve the recent ones in the literature. Some examples are given to illustrate our results.

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Monotonicity Properties of Interval Solutions and the Dutta–Ray Solution for Convex Interval Games

Theory and Decision Library C - Collective Decision Making ◽

10.1007/978-3-642-02865-6_16 ◽

2010 ◽

pp. 249-266

Author(s):

Elena Yanovskaya ◽

Rodica Branzei ◽

Stef Tijs

Keyword(s):

Monotonicity Properties ◽

Interval Games

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Solution mapping approach to modeling combustion

Computational Fluid and Solid Mechanics ◽

10.1016/b978-008043944-0/50871-4 ◽

2001 ◽

pp. 1177-1179

Author(s):

Michael Frenklach

Keyword(s):

Mapping Approach ◽

Solution Mapping

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Cognitive strategies in solution mapping: How engineering designers identify problems for technological solutions

Design Studies ◽

10.1016/j.destud.2020.100967 ◽

2020 ◽

Vol 71 ◽

pp. 100967

Author(s):

Jin Woo Lee ◽

Shanna R. Daly ◽

Aileen Huang-Saad ◽

Gabriella Rodriguez ◽

Colleen M. Seifert

Keyword(s):

Cognitive Strategies ◽

Solution Mapping

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On the Injectivity and Linearization of the Coefficient-to-Solution Mapping for Elliptic Boundary Value Problems

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1994.1479 ◽

1994 ◽

Vol 188 (3) ◽

pp. 1040-1066 ◽

Cited By ~ 18

Author(s):

K. Ito ◽

K. Kunisch

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Solution Mapping

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Lower semicontinuity of solution mapping to parametric generalized strong vector equilibrium problems

Applied Mathematics Letters ◽

10.1016/j.aml.2013.09.006 ◽

2014 ◽

Vol 28 ◽

pp. 38-41 ◽

Cited By ~ 17

Author(s):

Yu Han ◽

Xun-Hua Gong

Keyword(s):

Lower Semicontinuity ◽

Equilibrium Problems ◽

Vector Equilibrium Problems ◽

Solution Mapping ◽

Vector Equilibrium

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LOWER SEMICONTINUITY OF PARAMETRIC GENERALIZED WEAK VECTOR EQUILIBRIUM PROBLEMS

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972709000628 ◽

2009 ◽

Vol 81 (1) ◽

pp. 85-95 ◽

Cited By ~ 23

Author(s):

SHENG-JIE LI ◽

HUI-MIN LIU ◽

CHUN-RONG CHEN

Keyword(s):

Equilibrium Problem ◽

Lower Semicontinuity ◽

Equilibrium Problems ◽

Sufficient Conditions ◽

Vector Equilibrium Problems ◽

Solution Mapping ◽

Scalarization Method ◽

Set Valued Mappings ◽

Vector Equilibrium ◽

Weak Vector

AbstractIn this paper, using a scalarization method, we obtain sufficient conditions for the lower semicontinuity and continuity of the solution mapping to a parametric generalized weak vector equilibrium problem with set-valued mappings.

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